Phase diagram and sweep dynamics of a one-dimensional generalized cluster model

Takumi Ohta, Shu Tanaka, Ippei Danshita, Keisuke Totsuka

研究成果: Article査読

6 被引用数 (Scopus)


We numerically study quantum phase transitions and dynamical properties in the one-dimensional cluster model with several interactions by using the time-evolving block decimation method for infinite systems and the exact diagonalization. First, boundaries among several quantum phases of the model are determined from energy gap and each phase is characterized by order parameters and the entanglement spectrum (ES). We confirm that in the model with open boundary condition the degeneracy of the lowest levels in the ES corresponds to that of the ground states. Then, using the time-dependent Bogoliubov transformation with open boundary condition, we investigate dynamical properties during an interaction sweep through the critical point which separates two topological phases involving four-fold degeneracy in the ground state. After a slow sweep across the critical point, we observe spatially periodic structures in the string correlation functions and the entanglement entropy. It is shown that the periodicities stem from the Bogoliubov quasiparticles generated near the critical point.

ジャーナルJournal of the Physical Society of Japan
出版ステータスPublished - 2015 6月 15

ASJC Scopus subject areas

  • 物理学および天文学(全般)


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